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Finding the Fourth Proportional to 297,903.42, 411,082.29 and 175,376.34

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Solution

The fourth proportional to 297,903.42, 411,082.29 and 175,376.34 is: 242,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,903.42 : 411,082.29 = 175,376.34 : x
  2. Step 2: Convert to fraction form
    297,903.42/411,082.29 = 175,376.34/x
  3. Step 3: Cross multiply
    297,903.42x = 411,082.29 × 175,376.34
  4. Step 4: Simplify right side
    297,903.42x = 72,094,107,459.02
  5. Step 5: Solve for x
    x = 72,094,107,459.02/297,903.42
  6. Step 6: Final answer
    x = 242,004.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.